Abstract: We bring together researchers working on macroscopic models based
on partial differential equations for modeling nonlinear phenomena in
traffic or production. Contrary to existing approaches we
emphasize mathematical models obtained from empirical or measured data. The
models may be obtained by mean field limits, statistical approaches or by
phenomenological approaches. We are interested in mathematical
differential models of either kinetic or hyperbolic type commonly
observed in the field of traffic and production. The exchange
between those two applications should lead to new insights and
mathematical techniques.

MS-Mo-D-16-214:00--14:30Data-fitted macroscopic production modelsGoettlich, Simone (Univ. of Mannheim)HERTY, MICHAEL (RWTH AACHEN Univ.)Abstract: Starting from discrete event simulations based we simulate the interplay
between product density and flux. Data-fitting helps to determine the right
parameters for flux functions to close first and second order conservation laws.
For the first order case well-known relations from M/M/1-queuing theory can
be reproduced. To include more information from the data into the model,
a second equation is introduced leading to a second order model which is close
to to the Aw-Rascle-Zhang model.

MS-Mo-D-16-314:30--15:00Uncertainty quantification in traffic flow models calibration from GPS dataGoatin, Paola (Inria)Abstract: Facing the problem of macroscopic traffic flow models calibration with Floating Car Data from GPS devices, we propose to introduce the dependence form random parameters in the mean velocity closure equation and the initial density profile. We use a semi-intrusive deterministic approach to quantify uncertainty propagation in traffic density evolution and travel-times estimation. Numerical results are presented. The approach is then validated on processed real data on a stretch of highway in South-East France.

MS-Mo-D-16-415:00--15:30A multi-commodity traffic flow model for heterogeneous flow in general networksSamaranayake, Samitha (MIT)Abstract: We consider a multi-commodity traffic flow model for solving the dynamic system optimal traffic assignment problem with partial control. The goal of which is to find the system optimal allocation of the controllable flow. We should that this model provides explicit solutions to the boundary problem and leads to an efficient solutions to our optimization problem via the discrete adjoint method. Numerical results are provided for freeway corridor from Southern California.